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Quadratic Formula

If an object ...

Question

If an object is dropped from a height of 39 feet, the function $h (t) = - 16 t^{2} + 39$ gives the height of the object after t seconds. Choose the graph of the function.

A

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B

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C

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D

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Solution

The correct option is B

Since a is negative, the graph should be downward opening.

h(t) = 0

$\Rightarrow 0 = - 16 t^{2} + 39$

$\Rightarrow - 39 = - 16 t^{2}$

$\Rightarrow t = \sqrt{\frac{39}{16}}$ = 1.56

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